Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
Cost optimization of composite beams using genetic algorithms
Advances in Engineering Software
Block aggregation of stress constraints in topology optimization of structures
Advances in Engineering Software
Multi-material topology optimization with strength constraints
Structural and Multidisciplinary Optimization
Material interpolation schemes for unified topology and multi-material optimization
Structural and Multidisciplinary Optimization
Topology optimization of continuum structures with Drucker-Prager yield stress constraints
Computers and Structures
Structural and Multidisciplinary Optimization
Finite Elements in Analysis and Design
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This study presents a three-phase topology optimization model and an effective solution procedure to generate optimal material distributions for complex steel-concrete composite structures. The objective is to minimize the total material cost (or mass) while satisfying the specified structural stiffness requirements and concrete strength constraints. Based on the Drucker-Prager criterion for concrete yield behaviour, the extended power-law interpolation for material properties and a cosine-type relaxation scheme for Drucker-Prager stress constraints are adopted. An enhanced aggregation method is employed to efficiently treat the large number of stress constraints, and the optimal topology is obtained through a standard gradient-based search. Several examples are provided to demonstrate the capability of the proposed optimization method in automatically finding the reasonable composite layout of steel and concrete.